Aballoon inflated with three breaths of air has a volume of 1.7 l. at the same temperature and pressure, what is the volume of the balloon if five more same-sized breaths are added to the balloon? a balloon inflated with three breaths of air has a volume of 1.7 l. at the same temperature and pressure, what is the volume of the balloon if five more same-sized breaths are added to the balloon?

Ans: The final volume of the balloon is 4.5 L

Given:

Volume of balloon inflated with 3 breaths = 1.7 L

To determine:

Volume of balloon after a total of 3+5 = 8 breaths

Explanation:

Volume of the balloon per breath = 1.7 L * 1 breath/3 breaths = 0.567 L

Final volume of balloon after 8 breaths = 0.567 L * 8 breath/1 breath

= 4.536 L

The correct answer is 4.53 L.  

The volume of the three breaths is given as 1.7 liter. On adding five more breaths of the similar sizes, the total number of breaths in the balloon will be 8 breaths.  

The volume of 8 breaths is calculated as:  

The volume of 3 breaths = 1.7 L

1 breath will have the volume = 1.7 L / 3

Volume of 8 breaths = 8 breaths × 1.7 / 3 breaths

= 4.53 L

The volume of 8 breaths will be 4.53 L.